Interaction of fatigue and creep behavior is the dominant failure mode for high cycle or very high cycle fatigue under high mean stress at high temperature. As for large rotating component working as high-speed at high temperature, such interaction drives the need to update strength assessment and design method. In this work, a constant life diagram incorporating dual-criterion for evaluating the interaction behavior between high cycle/very high cycle fatigue and creep at high temperature was proposed, and then verified using six types of materials data. This dual-criterion method was proved to be more precise for assessing the serious fatigue-creep interaction behavior in long-life regime, that was promising for design and safety assessment of high-temperature rotating components. •Interaction of creep with high cycle or very high cycle fatigue is a dominant failure mode for high-temperature rotating components.•The dual-criterion assessment method considering HCF/VHCF and creep interaction was established and widely verified.•The dual-criterion assessment result is more precise with accuracy improvement for up to as high as 70 %.